To solve this problem, we need to determine how much of the Php 100,000 is invested at 6% and how much is invested at 7.5% in order to calculate the total interest earned after 1 year.

Let's denote:

• $x$ as the amount invested at 6% annual interest.
• $y$ as the amount invested at 7.5% annual interest.

We know the following:

1. $x + y = 100,000$ (the total investment).
2. The total interest earned from both investments after 1 year can be calculated as: $\text{Interest} = 0.06x + 0.075y$

However, without knowing the specific amounts $x$ and $y$, we cannot calculate the exact interest earned. If you have more details, like the interest earned or the proportion of the investment in each rate, I can provide a more precise answer.

If the problem is looking for a formula or expression for the total interest earned based on $x$, it would be:

$\text{Total Interest} = 0.06x + 0.075(100,000 - x)$

This simplifies to:

$\text{Total Interest} = 0.06x + 7,500 - 0.075x = -0.015x + 7,500$

So, the total interest is dependent on how